Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
24th March 2009
- 1Perpendicular Lines and the equation of a tangent3 marks
The point (9, 12) lies on the circle x^2 + y^2 = 225. Work out the gradient of the tangent to the circle at that point.
- 2Conditional Probability3 marks
A bag holds 7 red, 3 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 3Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 4Surds3 marks
Expand and simplify (6 + sqrt(3))(6 - sqrt(3)).
- 5Algebraic Fractions3 marks
Write 2/(x + 6) + 5/(x + 5) as a single fraction.
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